There are some ocasions when the contact form will send a destination address in a hidden HTML field, but I would say that those are the minority of all contact pages I have seen.
There is no need to pass the recipient of the email address if you only really process it internally.
Actually, the contact form might not even generate an email from your submission, sometime it will just store it in a database and use some other form of notification and access to your submission.
I would check the contact form page source (crtl-u on many browsers) and search for the "@" sign. If you find none, it is probably because they just keep on server, or no email is sent at all.